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Book Information

Author(s): Ralph Freese and Ralph McKenzie
Title: Commutator theory for congruence modular varieties
Additional book information: London Mathematical Society Lecture Notes, vol. 125, Cambridge University Press, Cambridge, New York and Melbourne, 1987, 227 pp., $27.95. ISBN 0-521-34832-3

1.: K. A. Baker, Finite equational bases for finite algebras in a congruence distributive equational class, Adv. in Math. 24 (1977), 207-243. MR 447074
2.: G. Birkhoff, On the structure of abstract algebras, Proc. Cambridge Philos. Soc. 31 (1935), 433-454.
3.: S. Burris and R. McKenzie, Decidability and Boolean representations, Mem. Amer. Math. Soc. vol. 32, no. 246, 1981. MR 617896
4.: R. Freese and R. McKenzie, Residually small varieties with modular congruence lattices, Transl. Amer. Math. Soc. 264 (1981), 419-430. MR 603772
5.: H. -P. Gumm, Geometrical methods in congruence modular algebras, Mem. Amer. Math. Soc., vol. 45, no. 286, 1983. MR 714648
6.: J. Hagemann and C. Herrmann, A concrete ideal multiplication for algebraic systems and its relation to congruence distributivity, Arch. Math. (Basel) 32 (1979), 234-245. MR 541622
7.: B. Jónsson, Algebras whose congruence lattices are distributive, Math. Scand. 21 (1967), 110-121. MR 237402
8.: R. McKenzie, Finite equational bases for congruence modular varieties, Algebra Universalis 24 (1987), 224-251. MR 931614
9.: R. McKenzie and M. Valeriote, The structure of decidable locally finite varieties,
10.: J. D. H. Smith, Mal'cev varieties, Lecture Notes in Math., vol. 554, Springer-Verlag, Berlin and New York, 1976. MR 432511
11.: W. Taylor, Some applications of the term condition, Algebra Universalis 14 (1982), 11-24. MR 634412

Review Information:
Journal: Bull. Amer. Math. Soc. 20 (1989), 94-96.
DOI: 10.1090/S0273-0979-1989-15710-8
PII: S 0273-0979(1989)15710-8

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ISSN 1088-9485(e) ISSN 0273-0979(p)

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